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Finding the Fourth Proportional to 309.12, 462.51 and 253.97

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Solution

The fourth proportional to 309.12, 462.51 and 253.97 is: 380.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.12 : 462.51 = 253.97 : x
  2. Step 2: Convert to fraction form
    309.12/462.51 = 253.97/x
  3. Step 3: Cross multiply
    309.12x = 462.51 × 253.97
  4. Step 4: Simplify right side
    309.12x = 117,463.09
  5. Step 5: Solve for x
    x = 117,463.09/309.12
  6. Step 6: Final answer
    x = 380.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.